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42117716600 = 2352210588583
BaseRepresentation
bin100111001110011010…
…010101101001111000
311000201020220200112122
4213032122111221320
51142224113412400
631203144500412
73020500453451
oct471632255170
9130636820478
1042117716600
1116953397953
1281b517a708
133c82a343cb
14207794a128
15116789d685
hex9ce695a78

42117716600 has 24 divisors (see below), whose sum is σ = 97923691560. Its totient is φ = 16847086560.

The previous prime is 42117716593. The next prime is 42117716617. The reversal of 42117716600 is 661771124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105294092 + ... + 105294491.

It is an arithmetic number, because the mean of its divisors is an integer number (4080153815).

Almost surely, 242117716600 is an apocalyptic number.

42117716600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42117716600 is an abundant number, since it is smaller than the sum of its proper divisors (55805974960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42117716600 is a wasteful number, since it uses less digits than its factorization.

42117716600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210588599 (or 210588590 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 42117716600 in words is "forty-two billion, one hundred seventeen million, seven hundred sixteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 210588583 421177166 842354332 1052942915 1684708664 2105885830 4211771660 5264714575 8423543320 10529429150 21058858300 42117716600